Prime p₀= 2070449851367805137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2070448930309133279	0 50 168 188 198 230 272 288 344 360 402 434 444 464 582 632	-921058671858
STPT(12)	2070448985807728577	0 2 30 32 42 44 60 62 72 74 102 104	-865560076560
STPT(10)	2070449141783948711	0 2 30 32 60 62 90 92 120 122	-709583856426
STPT(10)	2070449161679248277	0 2 30 32 72 74 114 116 144 146	-689688556860
SPT(16)	2070449423777237497	0 10 54 70 120 126 156 180 250 274 304 310 360 376 420 430	-427590567640
STPT(10)	2070449468413057727	0 2 30 32 72 74 114 116 144 146	-382954747410
STPT(10)	2070449997818745041	0 2 36 38 168 170 300 302 336 338	146450939904
SPT(16)	2070450254826437059	0 24 30 60 72 112 162 190 234 262 312 352 364 394 400 424	403458631922
STPT(10)	2070450333409437557	0 2 30 32 42 44 54 56 84 86	482041632420
SPT(16)	2070450466334397073	0 16 28 34 36 66 76 124 150 198 208 238 240 246 258 274	614966591936
SPT(16)	2070450472172757373	0 46 58 76 88 130 138 166 228 256 264 306 318 336 348 394	620804952236